Home / 3,169-4,206

Finding the Third Proportional to 3,169 and 4,206

Calculator

Solution

The third proportional to 3,169 and 4,206 is: 5,582.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169 : 4,206 = 4,206 : x
  2. Step 2: Convert to fraction form
    3,169/4,206 = 4,206/x
  3. Step 3: Cross multiply
    3,169x = 4,206 × 4,206
  4. Step 4: Simplify right side
    3,169x = 17,690,436
  5. Step 5: Solve for x
    x = 17,690,436/3,169
  6. Step 6: Final answer
    x = 5,582.34

Related Problems

Find third proportional to 1,584.50 and 2,103
Half scale
Find third proportional to 6,338 and 8,412
Double scale
Find third proportional to 3,171 and 4,209
Similar ratio
Find third proportional to 4,753.50 and 6,309
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.